weirdest way to integrate x*e^x (negative first derivative)

We usually use integration by parts from calculus 2 for the integral of xe^x. However, we can actually find a formula for the nth derivative of xe^x and then plug in -1. It works wonders! And we will also use the DI method to check the answer! For more fun calculus tutorials, subscribe here: 👉 https://bit.ly/just_calc
Short version: 👉 https://youtu.be/jNi0nS5yLng

0:00 integrate x*e^x by using the negative first derivative
2:35 integral of x*e^x with the DI method
3:11 Q: does the pi-th derivative make sense?
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"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, and a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos.
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integral of xe^xintegral of x*e^xintegration by parts x*e^x